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3 years ago

A triangle is reflected across the line x=2. which of the following is true?

Mathematics

2 answers:

exis [7]3 years ago

7 0

Answer: C

Step-by-step explanation:

alexdok [17]3 years ago

5 0

Answer:

C. the image and pre-image are congruent.

Step-by-step explanation:

a triangle is reflected across the line x=2

Check with each option

A. the image and pre-image have the same orientation.

The image will not be in same order

B. the image and pre-image have different sizes. the size will not change

C. the image and pre-image are congruent. the reflection will not change the size. so they are congruent

D. the image and pre-image are separated by a given angle.

The angles never change in reflection

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2 years ago

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STEP 1

Mean = $\frac{300+785+670+187+760+724}{6} = \frac{3426}{6}=571$

STEP 2

Subtract the mean from each data value then square the answer
$300-571=-271$ ⇒ $(-271)^{2} =73441$
$785-571=214$ ⇒ $(214)^{2}=45796$
$670-571=99$ ⇒ $(99)^{2}=9801$
$187-571=-384$ ⇒ $(-384)^{2} =147456$
$760-571=189$ ⇒ $189^{2}=35721$
$724-571=153$ ⇒ $153^{2} =23409$

STEP 3

Add the squared answers in STEP 2 then find the mean

$\frac{73441+45796+9801+147456+35721+23409}{6}= \frac{335624}{6}=55937.3$

STEP 4

Square root the answer in STEP 3
$\sqrt{55937.3} =236.5$

Standard deviation is 236.5

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3 years ago